Theorems · Theorem · commutative algebra

IsAdjoinRoot.lift_algEquiv

∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {f : Polynomial R}
  (h : IsAdjoinRoot S f) {T : Type u_1} [inst_3 : CommRing T] [inst_4 : Algebra R T] (h' : IsAdjoinRoot T f)
  {U : Type u_2} [inst_5 : CommRing U] (i : R →+* U) (x : U) (hx : Polynomial.eval₂ i x f = 0) (z : S),
  (h'.lift i x hx) ((h.algEquiv h') z) = (h.lift i x hx) z

Defined in

Mathlib.RingTheory.IsAdjoinRoot

Cited by

1 results in Mathlib

Foundations

Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebraCommRing